Uploaded July 2026 | Updated September 2026, 1 week ago
A knight hopping a chessboard hides one of the hardest problems in computer science, and two crayon colorings settle it completely, from the 4x4 board that always strands you on square 15 to the magic square no knight's tour can ever draw.
CHAPTERS
0:00 A tiny puzzle you cannot finish
0:46 The knight's tour, a monster in a chess costume
2:03 One knight move always flips the color
3:52 The open tour that really works
4:48 The balanced boards that still fail
6:25 Two colorings walk into a contradiction
8:24 The complete list of boards that work
9:30 Corners, and a greedy rule that wins
10:28 A magic square drawn by a knight
11:42 Where it finally breaks
This video was partially created using Manim.
Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.
#chess #math #brithemathguy
A knight hopping a chessboard hides one of the hardest problems in computer science, and two crayon colorings settle it completely, from the 4x4 board that always strands you on square 15 to the magic square no knight's tour can ever draw.
CHAPTERS
0:00 A tiny puzzle you cannot finish
0:46 The knight's tour, a monster in a chess costume
2:03 One knight move always flips the color
3:52 The open tour that really works
4:48 The balanced boards that still fail
6:25 Two colorings walk into a contradiction
8:24 The complete list of boards that work
9:30 Corners, and a greedy rule that wins
10:28 A magic square drawn by a knight
11:42 Where it finally breaks
This video was partially created using Manim.
Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.
#chess #math #brithemathguy
